A person invested $420 in an account growing at a rate allowing the money to double
every 10 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $960?

Answers

Answer 1

Answer:

t=11.9

Step-by-step explanation:

960=420(2)^t/10

2.28571429=2^t/10

add log to both sides

log(2.28571429)=10 t  log(2)

divide by log 2

1.19264508=  10 /t

10(1.19264508)

11.926450779=t


Related Questions

6 - 7x
a) constant binomial
b) linear binomial
c) quadratic binomial
d) cubic trinomial

Answers

Answer:linear binomial

Step-by-step explanation:

Answer:

B) Linear binomial.

Step-by-step explanation:

????

State the null and alternative hypotheses for the situation described below for a statistical test. Testing to see if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't. Let group be the group of stores where customers are approached by salespeople and let group be the group of stores where customers are not approached by salespeople.

Answers

Complete question is;

State the null and alternative hypotheses for the situation described below for a statistical test. Testing to see if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't. Let group 1 be the group of stores where customers are approached by salespeople and let group 2 be the group of stores where customers are not approached by salespeople

Answer:

Null hypothesis; H0; μ1 = μ2

Alternative hypothesis; Ha; μ1 > μ2

Step-by-step explanation:

Group 1 = the group of stores where customers are approached by salespeople

Group 2 = the group of stores where customers are not approached by salespeople

Now, we want to test to check if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't.

Thus, defining the hypotheses, we have;

Null hypothesis; H0; μ1 = μ2

Alternative hypothesis; Ha; μ1 > μ2

Erin competes in track meets. She has won blue ribbons and red ribbons. For every 3 blue ribbons she has won, she has won 2 red ribbons. At this rate, how many red ribbons will Erin have won after she has won 9 blue ribbons?

Question 9 options:

6 red


4 red


5 red


11 red

Answers

Answer:

the answer is A. 6 red

Step-by-step explanation:

3*3=9 3*2=6

Question 30
What was the median annual earnings for all U.S. civilian workers in 2016?
O $51,980
O $49,630
O $41,778
O $46,230

Answers

i think it’s option 2 but i’m not rlly sure

It's free!

Enjoy! :)

A triangular pyramid is 30 meters tall and has a base area of 500 square meters. What is the volume of the pyramid?

A) 7,500
B) 5,000
C) 15,000
D) 6,200

Answers

Answer:

C

Step-by-step explanation:

if it has a base area that means 500/4 = 125 so each side is 125 on the base.

The formula for the volume of a triangular pyramid is 1/3lwh.

if L=125 and w=125 and H= 30

we multiply 125·125·30=468750

and 468750/3=156250

so rounding that, our base would be C)15,000

An army of clone warriors is quadrupling every year. If the army started with only one warrior
named Clone Alpha, how many clones will there be in a decade?
A) 262,144 clones
B) 4,194,304 clones
C) 1,048,576 clones
D 10,485,760 clones

Answers

Answer:

C) 1,048,576 clones

Step-by-step explanation:

An army of clone warriors is quadrupling every year.

This means that the amount of clone warriots after t years is given by:

[tex]A(t) = A(0)4^t[/tex]

Started with only one warrior:

This means that [tex]A(0) = 1[/tex], so:

[tex]A(t) = 4^t[/tex]

How many clones will there be in a decade?

A decade is 10 years, so this is A(10).

[tex]A(10) = 4^{10} = 1,048,576[/tex]

The correct answer is given by option C.

Is 4/5 closer to 0,1/2, or 1?

Answers

Answer:

1

Step-by-step explanation:

4/5 is closer to 1

4/5 = 0.8 and 1/2 = 0.5, so you could eliminate 0 as an answer. it would be between 0.5 and 1. my answer would be 1 because it’s closer than 0.5

Find cot theta if 180° < theta < 270° and cos theta = - sqrt 3/2

Answers

Answer:

cot theta = -√3

Step-by-step explanation:

we are given that  cos theta = - √3/2 within the range 180° < theta < 270° and

since cos theta = adj/hyp

adj = - √3

hyp = 2

Get the opposite using the pythagoras theorem

hyp^2 = opp^2 + adj^2

2² = opp² + (-√3)²

4 = opp² + 3

opp² = 4-3

opp² = 1

opp = 1

tan theta = opp/adj

tan theta = - 1/√3

Recall that cot theta = 1/tan theta

cot theta = 1/(-1/√3)

cot theta = -√3

Plsss help mark brain list

Answers

Answer:

105

Step-by-step explanation:

42 * 2 = 84

360 - ( 84+171 ) = 105

Answer:

arc RS = 105°

Step-by-step explanation:

arc RT = 2(42°) = 84°

arc RS = 360° - 84° - 171° = 105°

Multiplying Polynomials write in standard form
(x+3)(x+4)

Answers

Answer:

x² + 7x + 12

Step-by-step explanation:

1. (x +3)(x+4)      - Distribute

2. x² + 4x +3x + 12   - Add like terms

3. x² +7x + 12

what is 13 more than 3 times a number is 34 and what is the solution

Answers

Answer:

13 + 3x = 34

Variables:

x = random number

Researchers collected data from 100 randomly chosen counties in Texas on pollution levels and asthma rates. Pollution levels were measured by calculating the average number of air particulates (in mg/m3) and asthma rates were calculated as the percent of residents (0-100%) diagnosed with asthma. After confirming all relevant assumptions, they ran a linear model predicting asthma rates based on pollution level: Estimate Std. Error (Intercept) 3.61 2.05 pollution 0.78 0.29 Are pollution levels in Texas counties a significant linear predictor of asthma rates

Answers

Answer:

The answer is "3.14".

Step-by-step explanation:

The coefficient of pollution level is "b" and "a" intercept

[tex]\to y=a+bx\\\\[/tex]  

We must verify it.

[tex]H_0 :\beta = 0\\\\H_a : \beta \neq 0\\\\[/tex]

[tex]Beta \to b=1.76, SE=0.56 \ Estimate[/tex]

The statistics on tets are now provided

[tex]\to t=\frac{b}{SE}=\frac{1.76}{0.56}=3.14[/tex]

Because statistics will be more than critical [tex](1.984)[/tex] values, we thus reject[tex]H_0[/tex]


8. The difference between two numbers is 33 and the ratio
between them is 5:2. Find the numbers

Answers

Answer:

Step-by-step explanation:

x - y = 33

x/y = 5/2      Multiply both sides by y

y*x/y =5y/2

x = 5y/2       Multiply both sides by 2

2x = 5y        Multiply the top equation by 2. Bring 5y to the left

2x - 2y = 66

====================

2x - 5y = 0

2x - 2y = 66 Subtract

-3y = - 66      Divide by - 3

y = 22

x - y = 33

x - 22 = 33    Add 22 to both sides

x = 22 + 33

x = 55

A side of 6 feet, and a 120° angle
A. One
B. None. C. Many

Answers

Answer:

C. Many ang sagot............

i need this fast thank you! :)

Answers

Answer:

C

Step-by-step explanation:

Hope this helps! Good Luck!

a

explanation

1/5280 = 5/x

the 1 and 5 represent the miles

5280 and x represent the total ft

so 5280 x 5 would be how to solve x because whatever you do the top you do the bottom which 1 x 5 being 5 so 5280 x 5 being 26400

Write 9/5 as a decimal number.

Answers

Answer:

1.8

Step-by-step explanation:

you have to divide 9 from 5 to get 1.8

Answer:

Decimal 1.8

Percentage 180%

Step-by-step explanation:

The mean number of points in 1977 was 1189 points with standard deviation of 397 points. With a roughly normal distribution, what percent of performances would fall between 395 and 1983 points?
Your answer
A. 100%
B. 68%
C. 95%
D.99.7%

Answers

Answer:

C. 95%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1189 points, standard deviation of 397 points.

Percentage between 395 and 1983 points?

395 = 1189 - 2*397

1983 = 1189 + 2*397

So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.

A certain store sells only T-shirts. Let the random variable X represent the number of T-shirts bought from the store on any day, with a mean of 75 and a standard deviation of 20. Let the random variable Y be the total revenue from this store on a randomly selected day. If the store charges $15 per T-shirt, what are the mean and standard deviation of Y

Answers

Answer:

[tex](a)\ \mu_y = 1125[/tex]

[tex](b)\ \sigma_y = 300[/tex]

Step-by-step explanation:

Given

[tex]\mu_x = 75[/tex] -- Mean of T-shirts

[tex]\sigma_x = 20[/tex] -- Standard deviation of T-shirts

[tex]Rate = \$ 15[/tex]

Solving (a): The mean of the revenue [tex](\mu_y)[/tex]

To solve this, we use:

[tex]\mu_y = Rate * \mu_x\\[/tex]

This gives:

[tex]\mu_y = 15 * 75[/tex]

[tex]\mu_y = 1125[/tex]

Solving (b): The standard deviation of the revenue [tex](\sigma_y)[/tex]

To solve this, we use:

[tex]\sigma_y = \sqrt{Rate^2 * \sigma_2^2}[/tex]

This gives:

[tex]\sigma_y = \sqrt{15^2 * 20^2}[/tex]

[tex]\sigma_y = \sqrt{90000}[/tex]

[tex]\sigma_y = 300[/tex]

pls help find area and perimeter

Answers

Answer:

A is 14 and P is 17

Step-by-step explanation:

working is above mentioned

х
Renaissance
Х
S M/JIB MYP MATH 1: Period 8-E X
B Post Attendee - Zo
ity-player/starcal/start
Jenna Hill
Ela is building a fence around her yard. She is
using boards that are 0.44 feet wide. She needs
enough boards to build 99 feet of fence. She will
place the boards side by side.
How many boards will Ela need?

Answers

Answer:

225 boards

Step-by-step explanation:

99 ft/0.44 ft = 225 ft

Convert 42°F to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas

c=5/9(F-32)
F=9/5 C+32

Answers

9514 1404 393

Answer:

  5.6 °C

Step-by-step explanation:

Put the number in the formula and do the arithmetic.

  C = 5/9(42 -32) = 5/9(10) = 50/9 = 5 5/9

  42 °F ≈ 5.6 °C

b→ = ⟨−1,3⟩ and c→ = ⟨−11,−2⟩.

What is c→ + b→ in component form?

Enter your answer by filling in the blanks.

c→+b→ = ⟨ __ , __ ⟩

Answers

Answer:

-12,1

(-12î, 1j)

is the ans

Answer:

The answer is, (-12î, 1j)

Step-by-step explanation:

Definition of component form:

The ordered pair that describes the changes in the x- and y-values is the component form of a vector. the ordered pair that describes the changes is [tex](x_{2} -x_{1} ,y_{2} -y_{1} )[/tex].

According, to the question:

= (-11-1),(-2+3)

= -12,1

= (-12î, 1j)

The component form are (-12î, 1j)

To know more component form here, https://brainly.com/question/13450744

#SPJ2

a2+9a+18

Can someone factor this for me

Answers

Answer:

(a+3)(a+6)

Step-by-step explanation:

a(a+6)+3(a+6)

(a+3)(a+6)

The critic rating and audience score for 8 movies are shown in the table.
Critic Rating 72 80 65 23 28 60 41 35
Audience Score 64 92 90 48 55 70 44 80
An owner of a movie theater is investigating whether critic rating can be used to predict the mean audience score of movies. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate to estimate the mean change in audience score for each 1 point increase in the critic rating?
A. A one-sample t-test for means
B. A linear regression t-interval for slope
C. A two-sample t-interval for a difference between means
D. A matched-pairs t-interval for a mean difference
E. A two-sample Z-interval for a difference between proportions

Answers

Answer:

B. A linear regression t-interval for slope

Step-by-step explanation:

Given the data for the critic rating and audience score, the relationship between this vmaues acb be modeled using regression, the slope value helps give the average change in the dependent variable (audience svi per unit change in the value of the independent variable (critic rating). The t distribution is employed due to the relatively small sample size which

does not form an approximately normal distribution according to the Central limit theorem.

When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.8 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,465 times in a given year.

Answers

This question is not complete, the complete question is;

When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.8 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,465 times in a given year.

a) What is the expected number of diversions

b) What is the probability of at least 400 diversions

c) What is the probability of fewer than 450 diversions?

Answer:

a) expected number of diversions μ is 406.32

b) the probability of at least 400 diversions is 0.6368

c) the probability of fewer than 450 diversions is 0.9861

 

Step-by-step explanation:

Given the data in the question;

n = 8465

π = 4.8% = 0.048

so expected number of diversions μ = nπ = 8465 × 0.048 = 406.32

and

σ = √(π(1 - π ) = √(8465 × 0.048(1 - 0.048 ) = √( 406.32 × 0.952 )

σ = √386.81664

σ = 19.6677

b) the probability of at least 400 diversions

P(at least 400 diversion ) = P( X ≥ 400 )

= P( X ≥ 399.5 )

so

z = (X - μ) / σ

we substitute

z = (399.5 - 406.32 ) / 19.6677

z = -6.82 / 19.6677

z = -0.35

so

P(Z > -0.35 ) = 0.500 + p( -0.35 ≤ z ≤ 0 )

= 0.5000 + p( 0 ≤ z ≤ 0.35 )

= 0.5000 + 0.1368

= 0.6368

Therefore, the probability of at least 400 diversions is 0.6368

c)  the probability of fewer than 450 diversions

P(fewer than 450 diversion ) = P( X ≤ 450 )

= P( X ≤ 449.5 )

so

z = (X - μ) / σ

we substitute

z = (449.5 - 406.32 ) / 19.6677

z = 43.18 / 19.6677

z = 2.20

so

P(Z ≤ 2.20 ) = 0.500 + p( 0 ≤ z ≤ 2.20 )

= 0.5000 + 0.4861

= 0.9861

Therefore, the probability of fewer than 450 diversions is 0.9861

 

40 pts please help (:
Find the geometric probability of throwing a dart and hitting the yellow ring. You may assume the dart will not miss the target entirely.

Answers

Answer:

c

Step-by-step explanation:

Answer:

i think it d

Step-by-step explanation:

sorry if it turn out wrong

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

JIG and MLN is the answer to this

Write an equation in slope and intercept form of the line (0,4) and (2,0)

Answers

Answer:

y = -2x + 4

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,4) and (2,0) into it. Then, solve:

[tex]m = \frac{(0)-(4)}{(2)-(0)} \\m =\frac{0-4}{2-0} \\m = \frac{-4}{2} \\m = -2[/tex]

So, the slope is -2.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that the line intersects (0,4), and that point has an x-value of 0. Thus, it must be the y-intercept.  

3) With the found information, write the equation of the line in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. The [tex]m[/tex] , or the coefficient of the x-term, represents the slope. So, substitute -2 in its place. The [tex]b[/tex] represents the y-intercept of the line, so substitute 4 in its place. This gives the following answer:

[tex]y = -2x + 4[/tex]

Find the area of this circle.
6 in.

Use 3.14 for

Answers

I think the answer is 113.1

Please help!? Work out the size of angle x. 42 degrees and 123 degrees?

Answers

Answer:

x° = 99°

Step-by-step explanation:

Sum of angles on a straight line is 180°.

180° - 123° = 57° (sum of angles on a straight line)

Sum of angles in a triangle is 180°. Let u be the value of the unknown angle in the triangle.

57° + 42° + u° = 180°

u° = 180° - 57° - 42°

u° = 81°

Sum of angles on a straight line is 180°.

x° + 81° = 180°

x° = 180° - 81°

x° = 99°

Other Questions
ANSWER ASAP! Select the correct answer.In what way were President Abraham Lincoln's and President Andrew Johnson's Reconstruction plans similar?A. Both reserved seats in the Congress for former confederate war leaders.B. Both granted voting rights to the newly freed black people.C. Both refused to grant amnesty to rich plantation owners from the south.D. Both required Southerners to support the Thirteenth Amendment to abolish slavery find x / solve for x Two students were asked if they liked to read. Is this a good example of aYes, this is a good statistical question because a variety of answersYes, this is a good statistical question because there are not a varieNo, this is not a good statistical question because there are not aNo, this is not a good statistical question because there are a van When the land and the sea warm up at different rates during the day, what is generally the result?warm temperatureraina breezesnow what is the density of a iphone with a mass of 200g and a volume of 40cm3 please help on the coordinate plane only.if you want 5 stars 2 thanks (i will thank you on your profile for the second thanks) and 1 brainliest you will have to wright it out so i can see what you did to get the answer.please and thank you :) Select the correct text in the passage.Sharon has paraphrased a story called How the Leopard Got His Spots by Rudyard Kipling. Her teacher has asked her to correct spelling errors in the passage. Which two sentences in this passage contain spelling errors?At first leopards, zebras, and giraffes all lived on the Highveld plateau of South Africa.It was always difficult for prey animals like the zebra and giraffe to spot the leopard when he came to hunt them because the leopard blended into the sandy-yellow Highveld grass. Finally, the zebra, girafes, and other animals got fed up with being hunted and decided to run away from the leopard to the green forest.The forest was full of tall trees that created shadows of various shapes.Living in this new combination of sunlight and shadows, the giraffe and zebra developed blotches and stripes on their skin. After many days, the leopard that still lived in the Highveld got tired of looking for his prey.So he also decided to travel to the forest with his hunting friend, an Ethiopian man. When the leopard got there, he discovered that his yellow skin made him stand out in the dark forrest, causing all his prey to run away before he could attack.So, with the help of his Ethiopian friend, the leopard put black spots on his skin so that he could easily blend into the shadows of the forest. x^(2)-4x-17=0Please show work step by step Which of the following is a tool to measure inequality globally or regionally?A. GDPB. GNI per capitaC. labor force participation rateD. IDAE. WTO Please I need the answers How many different meals can you order from a restaurant that has a menu with 8 appetizers, 3 entrees, 5 desserts, and 8 drinks? (Assume that you are getting one item from each section of the menu.) 9A canoe with a mass of 120 kg is floating downriver at a speed of 2.5 m/s. What is the canoe's kinetic eergy? Based on the table, how much more money would a electrician earn earn than a social worker over a 20 year career?A) $11,390B) $112,250C) $123,640D) 227,800 Jaron collected data about the number of students participating in different types of after-school programs. The chart displays his findings.ProgramStudents Participatingsports23art25academic21religious18family32Which type of graph would best display the data?bar graphline graphline plotstem and leaf plot PLEASE HELPPP ME!!!complete the table.do not put the link/site it gives me ur info and i can hack it lol. What type of reaction is illustrated below?2H1 --> H2 + 12 What is the value of 4a ^2 when a = 3? transforms one strand of nucleic acid into two sets so that each set may be passed on to daughter cells in cell division Someone please help with all this. Show working out as well! Will mark as brainliest.Thanks What is the surface area of the square pyramid, in square inches (Please Help)